arXiv subjects

Irina Savu

Publications and source records attributed to Irina Savu.

3 recordsLinked to original sources

arXiv2022

A characterization of the fuzzy fractals generated by an orbital fuzzy iterated function system

Orbital fuzzy iterated function systems are obtained as a combination of the concepts of iterated fuzzy set system and orbital iterated function system. It turns out that, for such a system, the corresponding fuzzy operator is weakly Picard, its fixed points being called fuzzy fractals. In this paper we present a structure result concerning fuzzy fractals associated to an orbital fuzzy iterated function system by proving that such an object is perfectly determined by the action of the initial term of the Picard iteration sequence on the closure of the orbits of certain elements.

math.DS↗

arXiv2021

Orbital Fuzzy Iterated Function Systems

In this paper we introduce the concept of orbital fuzzy iterated function system and prove that the fuzzy operator associated to such a system is weakly Picard. An example is provided.

math.DS↗

arXiv2021

Phi-contractive parent-child infinite IFSs and orbital phi-contractive infinite IFSs

In this paper we introduce the notions of phi-contractive parent-child infinite iterated function system (pcIIFS) and orbital phi-contractive infinite iterated function system (oIIFS) and we prove that the corresponding fractal operator is weakly Picard. The corresponding notions of shift space, canonical projection and their properties are also treated.

math.DS↗